11201122101 has 24 divisors (see below), whose sum is σ = 16184818656. Its totient is φ = 6887549760.

The previous prime is 11201122091. The next prime is 11201122187. The reversal of 11201122101 is 10122110211.

It is not a de Polignac number, because 11201122101 - 2⁵ = 11201122069 is a prime.

It is a super-3 number, since 3×11201122101³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11201122001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 688066 + ... + 704156.

It is an arithmetic number, because the mean of its divisors is an integer number (674367444).

Almost surely, 2^11201122101 is an apocalyptic number.

It is an amenable number.

11201122101 is a deficient number, since it is larger than the sum of its proper divisors (4983696555).

11201122101 is a wasteful number, since it uses less digits than its factorization.

11201122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17493 (or 17480 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11201122101 its reverse (10122110211), we get a palindrome (21323232312).

The spelling of 11201122101 in words is "eleven billion, two hundred one million, one hundred twenty-two thousand, one hundred one".